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Home » A regular tetrahedron has a side length of $s$. Determine the ratio of the volume of the tetrahedron to the volume of the sphere circumscribed around it. - AMAZONAWS

A regular tetrahedron has a side length of $s$. Determine the ratio of the volume of the tetrahedron to the volume of the sphere circumscribed around it. - AMAZONAWS

📅 March 6, 2026 👤 scraface
Mar 06, 2026
A regular tetrahedron has a side length of $s$. Determine the ratio of the volume of the tetrahedron to the volume of the sphere circumscribed around it.

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📌 Solution: The sequence is $1, 5, 9, 13, 17, 21, 25, 29, 33, 37$. The sum of an arithmetic sequence is given by $ S = \frac{n}{2}(2a + (n-1)d) $. Here, $ n = 10 $, $ a = 1 $, $ d = 4 $.
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